The basketball player Gong Luming attempted 40 shots in his last three games. He made 12
shots in the first game and 6 shots in the second game. If he made an average of 65% of his
shots out of the 40 attempted shots, how many shots did he make in the third game?

Answer: [tex]19.31\ ft[/tex]

Step-by-step explanation:

Given

The tower is at a height of [tex]h=20\ ft[/tex]

the angle of depression is [tex]15^{\circ}[/tex]

Suppose the surfer is x ft away from the base of the tower

[tex]\therefore \text{From the figure, we can write}\\\\\Rightarrow \cos 15^{\circ}=\dfrac{x}{h}\\\\\Rightarrow x=h\cos 15^{\circ}\\\Rightarrow x=20\cos 15^{\circ}\\\Rightarrow x=19.31\ ft[/tex]

Therefore, the surfer is at a distance of 19.31 ft from the base of the tower.

Answer:

10x2 - 5 (the 2 has to be small too.)

Answer:

y= 5x + 100

Step-by-step explanation:

Hope this helps out! :)

Answer:

x = -11 5/17

Step-by-step explanation:

3x + 2y = 12

2x - 3y = -57

5x + y =  -45

y = -5x - 45

2x - 3 (-5x - 45) = -57

2x + 15x + 135 = -57

17x + 135 = -57

17x = -192

x = -11 5/17

Answer:

there should be 4 points below the trend line

Step-by-step explanation:

4

Answer:

A.

Step-by-step explanation:

i pretty sure

Answer:

B-10⁰

Step-by-step explanation:

5 x 10 is 50, 4 x 10 is 40, add those and you get 90⁰

Answer:

I think the answer would be D. 20 hope it helps

Step-by-step explanation:

Answer:

A (8.1 x 10^10)

Step-by-step explanation:

1. 1 billion is 1,000,000,000 or 10^9

2. 81 Billion should be 81 x 10^9, but the correct notation should always show a single digit number, so you need to also divide 81 per 10

3. Thus, the answer is 8.1 x 10^10

Answer:

8.1 × 10^10

:)

Answer:

Whats the question and if its adding the answer is 790.12

Step-by-step explanation:

Also, if you could answer my question that'dd be great!

Answer:

There are 6,840 possible outcomes for these awards.

Step-by-step explanation:

Given that a group of 20 people are going to run a race, and the top three runners earn gold, silver, and bronze medals, to determine how many outcomes are possible for these awards, the following calculation must be performed:

20 x 19 x 18 = X

380 x 18 = X

6.840 = X

Therefore, there are 6,840 possible outcomes for these awards.

Total outcomes that are possible for these awards are 6840 outcomes, calculated using permutation.

Total number of people=20

permutation means the arrangement of items while the combination is all about the selection of some out of many.

let us say start with the gold medal

no of ways a gold medal can be given = ²⁰C₁ = 20

Now, the number of people left is 19

no of ways a silver medal can be given = ¹⁹C₁ = 19

Now, the number of people left is 18

no of ways a bronze medal can be given = ¹⁸C₁ = 18

possibility of total outcomes=20*19*18 = 6840ways

Therefore, total outcomes that are possible for these awards=6840

to get more about permutations and combinations refer to the link,

https://brainly.com/question/4658834

Answer:

E)  x^5

Step-by-step explanation:

example, [tex]\sqrt{3}[/tex] = 3^1/2 where '1' is the coefficient of 3

[tex]\sqrt{3}[/tex] is the same as [tex]\sqrt[2]{3}[/tex] (it's assumed to be 2 unless another number is there)

so, √x^10 is the same as x^(10/2) which is x^5

Answer:

Point N(4, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = \sqrt{x - 3}[/tex]

[tex]\displaystyle y' = \frac{1}{2}[/tex]

Step 2: Differentiate

Step 3: Solve

Find coordinates

x-coordinate

y-coordinate

∴ Coordinates of Point N is (4, 1).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer: 6472

Step-by-step explanation:

You have to multiply and add

Answer:

C) 24>x

Step-by-step explanation:

The inequality is just turned around. 24>x is thw same thing as x<24.

Hope this helped :)

Answer:

D

Step-by-step explanation:

x+3≥12

<=> x≥8

so 8 is less than x

x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)

Answer:

4

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

it has 15.95 and only 1 16.00 :D

The ratio of red squares to blue squares is 3 : 7

The ratio of blue squares to total squares is 7 : 10

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

The number of red squares = 15

The number of blue squares = 35

Now , the total number of squares is N = 50 squares

a)

The ratio of red squares to blue squares is = number of red squares / number of blue squares

The ratio of red squares to blue squares is = 15 / 35

The ratio of red squares to blue squares is = 3 : 7

b)

The ratio of blue squares to total squares is = number of blue squares / total number of squares

The ratio of blue squares to total squares is = 7 : 10

Hence , the proportion is solved

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ3

The complete question is :

A quilt is made of 15 red squares and 35 blue squares. Find the ratio, in lowest terms of:

a) The ratio of red squares to blue squares

b) The ratio of blue squares to total squares

Answer:

1.465 years

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 per year,

Then, to solve for time t, when compound interest is compounded continuously, the formula is given as:

t = ln(A/P) / r

Where

A = Amount after time t = $5,789.00

P = Principal = Initial amount = $5,00

r = 0.1

Hence,

t = ln(5,789.00/5,000.00) / 0.1

t = 1.465 years

Therefore, the money was in the account for 1.465 years

Answer:

Tim read 81 pages.

Step-by-step explanation:

If he read 3 pages on Monday and tripled the amount of pages he red based of off the amount of pages he read the previous day, he would have read 3 pages on Monday, 9 pages on Tuesday, 27 pages on Wednesday, and 81 pages on Thursday.

Monday: 3

Tuesday: 3 x 3 = 9

Wednesday: 9 x 3 = 27

Thursday: 27 x 3 = 81

I hope this helps you! :D

Answer:

The recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex], [tex]a_{i} = a_{i-1} + 30[/tex].

Step-by-step explanation:

A recursive formula is a formula that defines each term of a sequence using the preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence, as well as an equation defining [tex]a_{i}[/tex] in terms of preceding terms. Since the first term of this sequence is 37, that means [tex]a_{1} = 37[/tex]. The pattern in this arithmetic sequence between each term in ascending order would be 30 more than the previous term, so you can create the function [tex]a_{i} = a_{i-1} + 30[/tex]. So the recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex] and [tex]a_{i} = a_{i-1} + 30[/tex].

Answer:

1: True, 2: False

Step-by-step explanation:

With the first one, probability by defintion is the odds of if an event will happen or not, so it is true.

With the second one, it is false as if something is for sure going to happen, it will have a 100% or "1" chance of occurring. If it has a 1% chance of occuring, it would be 0.01.

Answer:

75°

Step-by-step explanation:

The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then

∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°

Answer:

(-4 - 2)

Step-by-step explanation:

-8 (1/2 + 1/4) = -6/1  = -6

-4 - 2 = -6

Answer:

x≤21/10

Step-by-step explanation:

[tex] \frac{1}{5} - 2x \geqslant - 4 \\ - 2x \geqslant - 4 - \frac{1}{5 } \\ 2x \leqslant 4 + \frac{1}{5} \\ 2x \leqslant \frac{21}{5} \\ x \leqslant \frac{21}{10} [/tex]

Answer:

No

Step-by-step explanation:

We need to tell that whether 8 satisfies the given inequality. The inequality is ,

[tex]:\implies[/tex] 48 < 4x

Putting x = 8

[tex]:\implies[/tex] 48 < 4x

[tex]:\implies[/tex] 48 < 4 * 8

[tex]:\implies[/tex] 48 < 32

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{48 < 4x}[/tex]

[tex]\large\textsf{TURN the given EQUATION}[/tex]

[tex]\mathsf{4x > 48}[/tex]

[tex]\large\textsf{DIVIDE 4 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{4x}{4}>\dfrac{48}{4}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{4}{4}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{48}{4}}\large\textsf{ because it helps us compare to the x value.}[/tex]

[tex]\mathsf{x >\dfrac{48}{4}}[/tex]

[tex]\mathsf{\dfrac{48}{4}}\\\\\mathsf{= 48\div4}\\\\\mathsf{\boxed{\bf = 12}}[/tex]

[tex]\boxed{\mathsf{x > 12}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf NO, because }\mathsf{\bf x < 12}\large\text{ \bf \& it is an O.P.E.N. circle shaded}}}\\\boxed{\boxed{\large\text{\bf the right}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

4/7 = 8/14

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

[tex]\frac{4}{x} =\frac{8}{14} \\[/tex]

cross multiply

8x = 14 x 4

8x = 56

x = 7